group of individuals born in the same period of time
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nx
abundance at age X
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dx
individuals dying between stages nx-(nx+1)
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lx
survivorship (probability) Nx/N0
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qx
mortality rate dx/nx
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type 1 survivorship curve
low death rates during early and middle life and an increase in death rates among older age groups -humans many mammals
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type 2 survivorship curve
fairly constant death rate at all ages -birds, rodents, reptiles, perennial plants
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type 3 survivorship curve
a pattern of survival over time in which there is low survivorship early in life with few individuals reaching adulthood -fish, inverts, many plants
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fecundity
rate of production of young by females
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bx
average number of female offspring produced by an individual at age x
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lxbx
mean number of females born in each age group, adjusted for survivorship
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R0
Lxbx added across all age groups, R0>1= population is growing R0
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exponential population growth
Nt+1=Nt+(births-deaths) dN/dT-rNt r= instantaneous per capita rate of growth
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influence on birth rates
-natality: number of young per breeding attempt -age at sexual maturity -reproductive span:# of breeding years -interbirth interval -age of female -nutritional state of females
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maximum rate of growth
is determined by a species life history (Births-deaths)
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sx
the survival rate from one age class to the next age class sx=1-qx -can be used to project population growth
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age distribution
The proportion of individuals of different ages within a population
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Projecting population growth
N(t+1)=N(t)λt λ>1: increasing population λ
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logistic growth
dN/dt=rN(1-N/K) -rate of population growth maximized halfway to carrying capacity
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density dependent factors affecting population dynamics
-environmental factor whose effects on a population change as the population density changes -growth declines as N increases (usually) -density dependent mortality -density dependent fecundity
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density independent factors affecting population dynamics
-environmental factor that affects the size of a population but is not influenced by changes in density -ex. weather events, pollutants
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competition
-interaction among individuals where both attempt to use a common essential resource; mutually detrimental to both participants -intraspecific (individuals of same species) -interspecific (individuals of different species)
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individuals compete for
food, space (enemy free space), light, water
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scramble competition
growth and reproduction are depressed equally across individuals in a population as the resource declines -herbivores and available forage (exploitation)
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contest competition
some individuals control sufficient resources while others in the population suffer -carnivores and prey base (interference)
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effects of intraspecific competition
-increased stress -slowed growth and development -reduced reproduction
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Territoriality
Defense of a space against encroachment by other individuals
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demographic stochasticity
random variation in birth and death rates from year to year
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environmental stochasticity
variation in environmental conditions can greatly affect birth and death rates
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deterministic population model
-birth and death rates assumed constant -use averages to incorporate range of possible outcomes
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stochastic models
-incorporate probability -use simulations to get a range of potential outcomes
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landscape ecologists
-study the structure, function, and/or changes of a landscape -they study how the characteristics of a landscape influence: dispersal, disease, propagation, energy flow, etc. -they focus on spatial heterogeneity and detecting patterns at large scales
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populations are spatially structured
-not found in an uniform way -elevation determined big horned sheep populations -demonstrates metapopulations
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metapopulation
a network of subpopulations linked by individual movements -populations are equivalent and extinction of local populations is stochastic (random) event
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subpopulations
local populations determined by distribution of patches of suitable habitat
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Abiotic landscapes
a non-living part of an ecosystem that shapes its environment
The transition from one type of habitat or ecosystem to another, such as the transition from a forest to a grassland -often contain high biological diversity -contain patch species, matrix species, edge species
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fragmentation
degree of patch (dis)continuity
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size of patch
increased size of patch= increased area= increased species able to be supported
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shape of patch
more regular shape, less "edge" -species that are edge species, interior species, and area-insensitive species
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corridors
relatively linear areas of habitat that connect patches -increase connectivity in patches -increases colonization rates
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connectivity
the degree to which patches interact with one another
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connecivity
structural and functional
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island biogeography theory
A theory that was initially applied to oceanic islands to explain how species come to be distributed among them. Aspects of the theory include immigration and extinction rates,island size, and distance from the mainland.
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Single Large or Several Small (SLOSS)
-refers to two different approaches to land conservation in order to protect biodiversity in a given region. -The "single large" approach favors one sizeable, contiguous land reserve. -The "several small" approach favors multiple smaller reserves of land whose total areas equal that of a large reserve.
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population growth affected by
births, deaths, immigration, emigration
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metapopulation dynamics-genetics
local dynamics, landscape dynamics
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metapopulation persistence
determined by local extinction and recolonization of subpopulations
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source-sink theory
-assumes habitat quality varies from patch to patch -models population dynamics in the context of heterogeneous habitats patches -variation in habitat quality affects demographic rates (birth/death) -there are intrinsic differences in habitat quality, so without immigration extinction in the sink is deterministic
patch size, isolation, and location are not static (change over time due to environment) -within-species interactions
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metacommunity dynamics
between-species interactions
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interspecific competition
-an interaction that negatively affects two or more species -cornerstone of evolutionary ecology- the motivation for darwin's theory of natural selection -driving force behind species divergence and phenotypic specialization
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mechanisms of competition
-exploitation -interference
more specifically: 1. consumption 2. preemption 3. overgrowth 4. chemical interactions 5. territoriality 6. encounter
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consumption competition (food exploitation)
when an individual of one species inhibits the growth of an individual of another species by consuming a shared resource
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pre-emptive competition (space interference)
when an individual of one species occupies a given area and thereby precludes the establishment by others -occurs primarily in sessile species
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overgrowth competition (light interference)
when one organism grows over top of another organism and prevents access to essential resources
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chemical interactions
growth inhibitors or toxins released by one species inhibits growth or kills another ex. allelopathy in spotted knapweed
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territorial competition (space interference)
the behavioral exclusion of other species form space that is defended as a territory
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encounter competition
when non-territorial meetings between individuals negatively affects one or both participating species
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Lotka-Volterra Model
A continuous-time model that calculates the influence of each of two populations (predator and prey, or competitors) on the abundance of the other
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four possible outcomes of interspecific competition
1. species 1 wins 2. species 2 wins 3. each species could outcompete each other 4. neither species can achieve the necessary density to out compete the other (coexistence)
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the competitive exclusion principle
two species that live in the same place and have the same ecological requirements cannot coexist
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assumptions of the competitive exclusion principle
1. Competitors have exactly the same resource requirement 2. Environmental conditions remain constant (rare)
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factors that affect competition
-rapid growth increases a plant's ability to compete for space, nutrients in light -however, non-resource factors also affect growth and germination (pH, temperature, relative humidity, salinity) -temporal variation in the environment -competitive ability varies with environmental gradients -superior competitor depends on nutrient availability
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ecological niche
sum of a species' tolerance limits for all environmental factors
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niche
consists of all the factors necessary for a species' existence in terms of time, space, and required resources
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fundamental niche
all the possible dimensions in which species can survive
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realized niche
the dimensions a species occupies after the effects of interspecific competition and other biotic interactions
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species one wins
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species 2 wins
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competition can go either way
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outcome 4: coexistence
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evolutionary response to competition
-competitive interactions among species are not stable over evolutionary timescales -populations should evolve to reduce negative effects of competition by minimizing interaction -competition promotes the evolutionary divergence of tolerance ranges
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character displacement
when tolerance ranges differentiate to reduce interaction ex. there is an overlap in beak size for Galapagos ground finches but in islands where they are together, there is no overlap in beak size
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resource partitioning
when two or more organisms use different portions of a common resource simultaneously -ex. resource partitioning in prairie plants reduces competition for soil moisture
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how different do species need to be?
-often species are competing for multiple resources -multidimensional nature of resource requirements reduces niche overlap
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competition interacts with environmental factors
degree to which competition shapes communities varies along environmental gradients -ex. one side of scale is community shaped by stress tolerance vs. other side is community shaped by competition for nutrients
-interaction is long lasting, prey not killed -"parasite-like" -ex. parasite on host
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intimate lethal feeder
-interaction is long lasting, prey killed -"parasitoid-like"
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disassociated lethal feeder
-interaction doesn't last long, prey killed -"predator like" -ex. lion and antelope
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Predator population equation
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prey zero growth isocline
-predator density zero/low, exponential growth -predator density increases; at some point mortality=births
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predator zero growth isocline
-prey density zero/low, predator population declines from low birth rate -growth rate of predator is zero when rate of increase (from consuming prey)= rate of mortality
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oscillations of prey vs. predator population
-populations oscillate/cycle out of phase -predator population lags behind prey
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numerical response
increase in predator population associated with increased consumption of prey
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processes of numerical response of predators
1. increased reproduction as rate of prey consumption increases 2. aggregative response as predators move into areas of high prey density
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functional response
change in per capita rate of consumption as the number of prey fluctuates
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functional response curves
describe the per capita rate of consumption for a predator relative to the number of prey available
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classification of functional response curves
-for a predator, time spent foraging is divided into searching time and handling -allocation of resources to each time component, in part dictates the type of functional response
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type 1 functional response
rate of predation is constant -passive predators (spiders, aquatic filter feeders)